GCD of 444, 996, 892, 318 Calculator

Given Input numbers are 444, 996, 892, 318

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 444, 996, 892, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 996, 892, 318 is 2.

Therefore, GCD of numbers 444, 996, 892, 318 is 2

Given Input Data is 444, 996, 892, 318

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 318 is 2 x 3 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(444, 996) = 36852

GCD(444, 996) = ( 444 x 996 ) / 36852

GCD(444, 996) = 442224 / 36852

GCD(444, 996) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 892

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(12, 892) = 2676

GCD(12, 892) = ( 12 x 892 ) / 2676

GCD(12, 892) = 10704 / 2676

GCD(12, 892) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 318

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 318) = 636

GCD(4, 318) = ( 4 x 318 ) / 636

GCD(4, 318) = 1272 / 636

GCD(4, 318) = 2

GCD of 444, 996, 892, 318 is 2

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1. What is the GCD of 444, 996, 892, 318?

GCD of 444, 996, 892, 318 is 2

2. Where do I get the detailed procedure to find GCD of 444, 996, 892, 318?

You can find a detailed procedure to find GCD of 444, 996, 892, 318 on our page.

3. How to find GCD of 444, 996, 892, 318 on a calculator?

You can find the GCD of 444, 996, 892, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.